主余震序列作用下考虑材料参数空间变异性的边坡动力可靠度分析

打开文本图片集

中图分类号：P642.22 文献标志码：A 文章编号：2096-6717（2025）06-0001-12

Abstract： The research on the dynamic response of slopes under seismic action currently focuses on a single mainshock without considering the effect of aftershocks，and the spatial variability of material parameters is

generally ignored.In this paper，the spatial variabilityof parameters is fullconsidered，andareliability analysis framework based on the Newmark method and probaility density evolution method （PDEM）） is proposed to quantifythe efects of aftershocksand spatial variabilityon the dynamic reliability.First，the physical random function model，Copula function and the narrowband harmonic group superposition method are combined to generate the mainshock-aftershock sequence （MAS）.In addition，the random field is generated based on the spectral representation and parameters are asigned to the finite element model based on the corresponding coordinates.Then， the permanent displacement of the slope considering the spatial variability of parameters subjected to the MAS was batch calculated based on the Newmark method，and the efects of the coefficient of variation of cohesion and friction angle COVc and COVF ），aftershock，and peak ground acceleration （PGA）on the permanent displacement of the slope were analyzed by the mean of the displacement.Finally，based on PDEM，the effects of COV and aftershocks on the dynamic reliability of the slope are explained from a probabilistic point of view.The results of the study show that the mean of displacements shows a gradual increase with an increase of coeficient of variation （COV）. In contrast， the COVF has a more pronounced effect on the slope displacement .In addition，the mean of displacement of the slope subjected to the MAS is greater compared to thatof the single mainshock.If the spatial variabilityofparameters and the influence of aftershocks are ignored，the seismic performance of the slope would be overestimated.

Keywords：slopereliability；mainshock-aftershock sequences；spatial variability；Newmark displacement method;probability density evolution method

地震引起的边坡不稳定是造成地质灾害的主要因素之一。（剩余18494字）